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In mathematics education, calculus denotes courses of elementary mathematical analysis, which are mainly devoted to the study of functions and limits. The word calculus is Latin for "small pebble" (the diminutive of calx, meaning "stone"), a meaning which still persists in medicine.
Fundamental theorem of calculus and definite integrals: Integrals Reverse power rule: Integrals Indefinite integrals of common functions: Integrals Definite integrals of common functions: Integrals Integrating with u-substitution: Integrals Integrating using long division and completing the square: Integrals Integrating using trigonometric ...
The word Calculus comes from Latin meaning "small stone", Because it is like understanding something by looking at small pieces. Differential Calculus cuts something into small pieces to find how it changes. Integral Calculus joins (integrates) the small pieces together to find how much there is. Read Introduction to Calculus or "how fast right ...
Jan 16, 2023 · Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. Calculus has two primary branches: differential calculus and integral calculus. Multivariable calculus is the extension of calculus in one variable to functions of several variables.
Chapter 1: Introduction to Calculus (PDF) 1.1 Velocity and Distance. 1.2 Calculus Without Limits. 1.3 The Velocity at an Instant. 1.4 Circular Motion. 1.5 A Review of Trigonometry. 1.6 A Thousand Points of Light. Chapter 2: Derivatives (PDF) 2.1 The Derivative of a Function. 2.2 Powers and Polynomials. 2.3 The Slope and the Tangent Line.
Defining average and instantaneous rates of change at a point Defining the derivative of a function and using derivative notation Estimating derivatives of a function at a point Connecting differentiability and continuity: determining when derivatives do and do not exist Applying the power rule Derivative rules: constant, sum, difference, and co...
Calculus I: Single Variable Calculus. Course Description. Master the calculus of derivatives, integrals, coordinate systems, and infinite series. In this three-part series you will learn the mathematical notation, physical meaning, and geometric interpretation of a variety of calculus concepts.
